Rational Curves On Quasi Projective Surfaces

This book is intended for graduate students and research mathematicians working in algebraic geometry

This book is intended for graduate students and research mathematicians working in algebraic geometry

This volume contains papers from the Short Thematic Program on Rational Points, Rational Curves, and Entire Holomorphic Curves and Algebraic Varieties, held from June 3-28, 2013, at the Centre de Recherches Mathématiques, Université de Montréal, Québec, Canada. The program was dedicated to the study of subtle interconnections between geometric and arithmetic properties of higher-dimensional algebraic varieties. The main areas of the program were, among others, proving density of rational points in Zariski or analytic topology on special varieties, understanding global geometric properties of rationally connected varieties, as well as connections between geometry and algebraic dynamics exploring new geometric techniques in Diophantine approximation. This book is co-published with the Centre de Recherches Mathématiques.

This book is the proceedings of the conference “Algebraic Geometry in East Asia” which was held in International Institute for Advanced Studies (IIAS) during August 3 to August 10, 2001. As the breadth of the topics covered in this proceedings demonstrate, the conference was indeed successful in assembling a wide spectrum of East Asian mathematicians, and gave them a welcome chance to discuss current state of algebraic geometry. Contents:Introduction to Arakelov Geometry (S Kawaguchi et al.)Double Covering of Smooth Algebraic Curves (C Keem)Algebraic Surfaces with Quotient Singularities — Including Some Discussion on Automorphisms and Fundamental Groups (J Keum & D-Q Zhang)Linear Series of Irregular Varieties (J A Chen & C D Hacon)Hecke Curves on the Moduli Space of Vector Bundles (J-M Hwang)Minimal Resolution via Gröbner Basis (Y Ito)Deformation Theory of Smoothable Semi Log Canonical Surfaces (Y Lee)Modular Curves and Some Related Issues (V NguyenKhac)On the Asymptotic Behavior of Admissible Variations of Mixed Hodge Structure (G Pearlstein)Degeneration of SL(n)-Bundles on a Reducible Curve (X-T Sun)Refined Brill–Noether Locus and Non-Abelian Zeta Functions for Elliptic Curves (L Weng) Readership: Graduate students, academics and researchers in algebra & number theory and geometry & topology. Keywords:Algebraic Geometry;East Asia;Arakelov Theory;Curve Theory;Surface Theory

This book is the proceedings of the conference OC Algebraic Geometry in East AsiaOCO which was held in International Institute for Advanced Studies (IIAS) during August 3 to August 10, 2001.As the breadth of the topics covered in this proceedings demonstrate, the conference was indeed successful in assembling a wide spectrum of East Asian mathematicians, and gave them a welcome chance to discuss current state of algebraic geometry."

This collection of surveys present an overview of recent developments in Complex Geometry. Topics range from curve and surface theory through special varieties in higher dimensions, moduli theory, Kähler geometry, and group actions to Hodge theory and characteristic p-geometry. Written by established experts this book will be a must for mathematicians working in Complex Geometry

This volume contains the proceedings of the conference Local and Global Methods in Algebraic Geometry, held from May 12–15, 2016, at the University of Illinois at Chicago, in honor of Lawrence Ein's 60th birthday. The articles cover a broad range of topics in algebraic geometry and related fields, including birational geometry and moduli theory, analytic and positive characteristic methods, geometry of surfaces, singularity theory, hyper-Kähler geometry, rational points, and rational curves.